{ "challenge_module": "ComparatorChallenges.BallPackingNecessity", "solution_module": "OAI.Geometry.BallPacking.Necessity.Main", "theorem_names": [ "OAI.HigherDimensionalBallPacking.packing_necessity" ], "definition_names": [], "permitted_axioms": [ "propext", "Quot.sound", "Classical.choice" ], "enable_nanoda": false }